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If p and q be positive integers, then the coefficients of \small x^p and xq in the expansion of\small (1+x)^{p+q}  will be 

Option: 1

Equal
 


Option: 2

Equal in magnitude but opposite in sign
 


Option: 3

Reciprocal to each other


Option: 4

None of these
 


Answers (1)

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\text { Coefficient of } x^p \text { is }{ }^{(p+q)} C_p \text { and coefficient } of xq is (p+q)Cq\text { But }{ }^{(p+q)} C_p={ }^{(p+q)} C_q \text {, } \text { ( }{ }^n C_r={ }^n C_{n-r})

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SANGALDEEP SINGH

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